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Finding the Fourth Proportional to 305.35, 423.32 and 288.93

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Solution

The fourth proportional to 305.35, 423.32 and 288.93 is: 400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.35 : 423.32 = 288.93 : x
  2. Step 2: Convert to fraction form
    305.35/423.32 = 288.93/x
  3. Step 3: Cross multiply
    305.35x = 423.32 × 288.93
  4. Step 4: Simplify right side
    305.35x = 122,309.85
  5. Step 5: Solve for x
    x = 122,309.85/305.35
  6. Step 6: Final answer
    x = 400.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.